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Finding the Fourth Proportional to 25,156.67, 37,764.17 and 13,492.67

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Solution

The fourth proportional to 25,156.67, 37,764.17 and 13,492.67 is: 20,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,156.67 : 37,764.17 = 13,492.67 : x
  2. Step 2: Convert to fraction form
    25,156.67/37,764.17 = 13,492.67/x
  3. Step 3: Cross multiply
    25,156.67x = 37,764.17 × 13,492.67
  4. Step 4: Simplify right side
    25,156.67x = 509,539,416.17
  5. Step 5: Solve for x
    x = 509,539,416.17/25,156.67
  6. Step 6: Final answer
    x = 20,254.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.